0.00/0.41 NO 0.00/0.41 0.00/0.41 0.00/0.41 The system was reversed. 0.00/0.41 0.00/0.41 Remains to prove termination of the 3-rule system 0.00/0.41 { a -> b , 0.00/0.41 c b a -> a a b c c , 0.00/0.41 c c -> } 0.00/0.41 0.00/0.41 0.00/0.41 Loop of length 14 starting with a string of length 8 using right expansion 0.00/0.41 and the encoding {a=a, b=b, c=c}: 0.00/0.41 0.00/0.41 .cba.babaa 0.00/0.41 rule cba -> aabcc at position 0 0.00/0.41 .aabcc.babaa 0.00/0.41 rule cba -> aabcc at position 4 0.00/0.41 .aabcaabcc.baa 0.00/0.41 rule a -> b at position 4 0.00/0.41 .aabcbabcc.baa 0.00/0.41 rule cba -> aabcc at position 3 0.00/0.41 .aabaabccbcc.baa 0.00/0.41 rule cba -> aabcc at position 10 0.00/0.41 .aabaabccbcaabcc.a 0.00/0.41 rule a -> b at position 10 0.00/0.41 .aabaabccbcbabcc.a 0.00/0.41 rule cba -> aabcc at position 9 0.00/0.41 .aabaabccbaabccbcc.a 0.00/0.41 rule cba -> aabcc at position 7 0.00/0.41 .aabaabcaabccabccbcc.a 0.00/0.41 rule a -> b at position 7 0.00/0.41 .aabaabcbabccabccbcc.a 0.00/0.41 rule cc -> at position 10 0.00/0.41 .aabaabcbababccbcc.a 0.00/0.41 rule cc -> at position 15 0.00/0.41 .aabaabcbababccb.a 0.00/0.41 rule cba -> aabcc at position 13 0.00/0.41 .aabaabcbababcaabcc. 0.00/0.41 rule a -> b at position 13 0.00/0.41 .aabaabcbababcbabcc. 0.00/0.41 rule cba -> aabcc at position 12 0.00/0.41 .aabaabcbababaabccbcc. 0.00/0.44 EOF